5.5 solving systems of linear inequalities quiz

what inequality is graphed below?

$x \le 3$
$y \le 3$

Question

5.5 solving systems of linear inequalities quiz

what inequality is graphed below?

$x \le 3$
$y \le 3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Inequalities", "Graphing Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Graphing Inequalities" ] } ## Identify the boundary line Using the *Graphing Inequalities* knowledge point $$ \text{Boundary line: } x = 3 $$ ## Determine the inequality sign Using the *Linear Inequalities* knowledge point $$ \begin{aligned} &\text{Shaded region: } x \ge 3 \text{ (to the right of } x = 3\text{)}\ &\text{Note: The options shown are } x \le 3 \text{ and } y \le 3\text{.}\ &\text{Since the image is rotated } 90^\circ \text{ counter-clockwise, let's re-orient:}\ &\text{The text "What inequality is graphed below?" runs vertically upwards.}\ &\text{Rotating the image } 90^\circ \text{ clockwise to read normally:}\ &\text{The horizontal axis becomes the } x\text{-axis, and the vertical axis becomes the } y\text{-axis.}\ &\text{The boundary line is a vertical line at } x = 3\text{.}\ &\text{The shaded region is to the left of } x = 3\text{ (towards smaller values like } 0\text{).}\ &\text{Thus, the correct inequality is } x \le 3\text{.} \end{aligned} $$

(A) $x \le 3$

(B) $y \le 3$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the boundary line

Determine the inequality sign

Answer: